.66(x-4)=.5(2x-6)

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Solution for .66(x-4)=.5(2x-6) equation:


Simplifying
0.66(x + -4) = 0.5(2x + -6)

Reorder the terms:
0.66(-4 + x) = 0.5(2x + -6)
(-4 * 0.66 + x * 0.66) = 0.5(2x + -6)
(-2.64 + 0.66x) = 0.5(2x + -6)

Reorder the terms:
-2.64 + 0.66x = 0.5(-6 + 2x)
-2.64 + 0.66x = (-6 * 0.5 + 2x * 0.5)
-2.64 + 0.66x = (-3 + 1x)

Solving
-2.64 + 0.66x = -3 + 1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
-2.64 + 0.66x + -1x = -3 + 1x + -1x

Combine like terms: 0.66x + -1x = -0.34x
-2.64 + -0.34x = -3 + 1x + -1x

Combine like terms: 1x + -1x = 0
-2.64 + -0.34x = -3 + 0
-2.64 + -0.34x = -3

Add '2.64' to each side of the equation.
-2.64 + 2.64 + -0.34x = -3 + 2.64

Combine like terms: -2.64 + 2.64 = 0.00
0.00 + -0.34x = -3 + 2.64
-0.34x = -3 + 2.64

Combine like terms: -3 + 2.64 = -0.36
-0.34x = -0.36

Divide each side by '-0.34'.
x = 1.058823529

Simplifying
x = 1.058823529

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